The PyPy project did not reimplement the entire Python standard library. The goal of PyPy is to provide a drop-in replacement for the canonical CPython
interpreter. Right now, PyPy is (very) compatible with existing Python 2.7.3 code.[1]
1: http://pypy.org/compat.html - Standard library modules supported by PyPy. Note that large parts of python library are implemented in pure python, so they don't have to be listed there.